
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 28th, 2013, 07:43 PM  #1 
Newbie Joined: Aug 2013 Posts: 7 Thanks: 0  How to show the standard distance in R^n is a metric space
How do I show that the standard distance in R^n is a metric space? is a metric on ? I know that I need to show the definition of a metric to prove this like symmetry, triangle inequality, and nonnegative but I do not know how exactly to do that? It seems obvious but I don't know how to formally prove it. 
August 29th, 2013, 02:43 PM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 5  Re: How to show the standard distance in R^n is a metric spa Quote:
 
August 29th, 2013, 05:24 PM  #3 
Newbie Joined: Aug 2013 Posts: 7 Thanks: 0  Re: How to show the standard distance in R^n is a metric spa
Thanks HallsofIvy! I should make a better effort to always look back at the definition.


Tags 
distance, metric, show, space, standard 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
metric space  wiskunde  Real Analysis  4  September 3rd, 2013 03:11 AM 
Metric Space  Fernando  Linear Algebra  0  November 29th, 2012 08:42 AM 
metric space  mathrookie2012  Real Analysis  4  January 22nd, 2012 03:27 AM 
Nonstandard arithmetic metric  knifemod  Number Theory  19  November 4th, 2011 03:06 PM 
Need Information about metric (distance) !  semeevics  Real Analysis  1  September 17th, 2009 07:22 PM 